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Finding the Third Proportional to 7,884 and 14,024

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Solution

The third proportional to 7,884 and 14,024 is: 24,945.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884 : 14,024 = 14,024 : x
  2. Step 2: Convert to fraction form
    7,884/14,024 = 14,024/x
  3. Step 3: Cross multiply
    7,884x = 14,024 × 14,024
  4. Step 4: Simplify right side
    7,884x = 196,672,576
  5. Step 5: Solve for x
    x = 196,672,576/7,884
  6. Step 6: Final answer
    x = 24,945.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.